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bn:03463071n

Noun Concept

Categories: Differential operators, Leonhard Euler, Types of functions, Linear algebra

homogeneous function Absolute homogeneity Absolute homogeneous Absolute real homogeneity Absolute real homogeneous

In mathematics, a homogeneous function is a function of several variables such that, if all its arguments are multiplied by a scalar, then its value is multiplied by some power of this scalar, called the degree of homogeneity, or simply the degree; that is, if k is an integer, a function f of n variables is homogeneous of degree k if f = s k f {\displaystyle f=s^{k}f} for every x 1, …, x n, {\displaystyle x_{1},\ldots,x_{n},} and s ≠ 0. Wikipedia

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Function with multiplicative scaling behaviour Wikidata

IS A

function

HAS KIND

linear map

Wikipedia

homogeneous function

Wikidata

homogeneous function

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Absolute homogeneity, Absolute homogeneous, Absolute real homogeneity, Absolute real homogeneous, absolutely homogeneous, Absolutely real homogeneous, Complex homogeneous, Conjugate homogeneity, conjugate homogeneous, Euler's homogeneous function theorem, Euler's theorem on homogeneous functions, Euler homogeneous function theorem, Euler theorem on homogeneous functions, homogeneous map, Homogeneous over the rational numbers, homogenous function, Inhomogeneous function, Non-negative homogeneity, Non-negatively homogeneous, Nonnegative homogeneity, Nonnegative homogeneous, Nonnegatively homogeneous, positive homogeneity, Positive homogeneous, positively homogeneous, positively homogeneous function, Real homogeneity, Real homogeneous, Strict positive homogeneity, Strictly positive homogeneous